The boundedness of commutators on locally compact Vilenkin groups

The boundedness of commutators on locally compact Vilenkin groups

Let G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also studied.

Bibliographic Details
Main Authors: Canqin Tang, Qingguo Li, Bolin Ma
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2005/265158
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spelling doaj-e45261a9763e4a96a76aa39e783a128e2020-11-24T21:08:04ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022005-01-013220922210.1155/2005/265158The boundedness of commutators on locally compact Vilenkin groupsCanqin Tang0Qingguo Li1Bolin Ma2Department of Mathematics, Hunan University, Changsha, Hunan, ChinaDepartment of Mathematics, Hunan University, Changsha, Hunan, ChinaDepartment of Mathematics, Hunan University, Changsha, Hunan, ChinaLet G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also studied.http://dx.doi.org/10.1155/2005/265158
collection DOAJ
language English
format Article
sources DOAJ
author Canqin Tang
Qingguo Li
Bolin Ma
spellingShingle Canqin Tang
Qingguo Li
Bolin Ma
The boundedness of commutators on locally compact Vilenkin groups
Journal of Function Spaces and Applications
author_facet Canqin Tang
Qingguo Li
Bolin Ma
author_sort Canqin Tang
title The boundedness of commutators on locally compact Vilenkin groups
title_short The boundedness of commutators on locally compact Vilenkin groups
title_full The boundedness of commutators on locally compact Vilenkin groups
title_fullStr The boundedness of commutators on locally compact Vilenkin groups
title_full_unstemmed The boundedness of commutators on locally compact Vilenkin groups
title_sort boundedness of commutators on locally compact vilenkin groups
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2005-01-01
description Let G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also studied.
url http://dx.doi.org/10.1155/2005/265158
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AT qingguoli theboundednessofcommutatorsonlocallycompactvilenkingroups
AT bolinma theboundednessofcommutatorsonlocallycompactvilenkingroups
AT canqintang boundednessofcommutatorsonlocallycompactvilenkingroups
AT qingguoli boundednessofcommutatorsonlocallycompactvilenkingroups
AT bolinma boundednessofcommutatorsonlocallycompactvilenkingroups
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